Name
Title | ||
|---|---|---|
Pentavalent symmetric graphs admitting transitive non-abelian characteristically simple groups. |
Abstract | ||
|---|---|---|
Let Γ be a graph and let G be a group of automorphisms of Γ. The graph Γ is called G-normal if G is normal in the automorphism group of Γ. Let T be a finite non-abelian simple group and let G=Tl with l≥1. In this paper we prove that if every connected pentavalent symmetric T-vertex-transitive graph is T-normal, then every connected pentavalent symmetric G-vertex-transitive graph is G-normal. This result, among others, implies that every connected pentavalent symmetric G-vertex-transitive graph is G-normal except T is one of 57 simple groups. Furthermore, every connected pentavalent symmetric G-regular graph is G-normal except T is one of 20 simple groups, and every connected pentavalent G-symmetric graph is G-normal except T is one of 17 simple groups. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.disc.2017.12.011 | Discrete Mathematics |
Keywords | Field | DocType |
Vertex-transitive graph,Symmetric graph,Cayley graph,Regular permutation group,Simple group | Abelian group,Discrete mathematics,Automorphism group,Graph,Combinatorics,Automorphism,Mathematics,Transitive relation,Simple group | Journal |
Volume | Issue | ISSN |
341 | 4 | 0012-365X |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jia-li Du | 1 | 2 | 1.13 |
| Yan-quan Feng | 2 | 350 | 41.80 |